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Finding the Fourth Proportional to 3,744.39, 5,169.12 and 2,903.20

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Solution

The fourth proportional to 3,744.39, 5,169.12 and 2,903.20 is: 4,007.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.39 : 5,169.12 = 2,903.20 : x
  2. Step 2: Convert to fraction form
    3,744.39/5,169.12 = 2,903.20/x
  3. Step 3: Cross multiply
    3,744.39x = 5,169.12 × 2,903.20
  4. Step 4: Simplify right side
    3,744.39x = 15,006,989.18
  5. Step 5: Solve for x
    x = 15,006,989.18/3,744.39
  6. Step 6: Final answer
    x = 4,007.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.